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Suppose the game described below is infinitely repeated and that the interest rate is sufficiently low. Player 2 StrategyCDPlayer 1A -10, -10200, -100 B -100,

Suppose the game described below is infinitely repeated and that the interest rate is sufficiently "low."

Player 2StrategyCDPlayer 1A-10, -10200, -100B-100, 220140, 180

Identify trigger strategies that permit Players 1 and 2 to earn equilibrium payoffs of 140 and 180, respectively, in each period.

Trigger strategy for Player 1:

  • Play B until Player 2 deviates from strategy C, then play A forever after.
  • Play B until Player 2 deviates from strategy D, then play A forever after.
  • Play A until Player 2 deviates from strategy C, then play B forever after.
  • Play A until Player 2 deviates from strategy D, then play B forever after.

Trigger strategy for Player 2:

  • Play D until Player 1 deviates from strategy B, then play C forever after.
  • Play C until Player 1 deviates from strategy A, then play D forever after.
  • Play C until Player 1 deviates from strategy B, then play D forever after.
  • Play D until Player 1 deviates from strategy A, then play C forever after.

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